Advances in Peircean mathematics: the Colombian School
The book explores Peirce's non standard thoughts on a synthetic continuum, topological logics, existential graphs, and relational semiotics, offering full mathematical developments on these areas. More precisely, the following new advances are offered: (1) two extensions of Peirce's existe...
Gespeichert in:
| Weitere beteiligte Personen: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin ; Boston
De Gruyter
[2023]
|
| Schriftenreihe: | Peirceana
volume 7 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1515/9783110717631 https://doi.org/10.1515/9783110717631 https://doi.org/10.1515/9783110717631 https://doi.org/10.1515/9783110717631 https://doi.org/10.1515/9783110717631 https://doi.org/10.1515/9783110717631 https://doi.org/10.1515/9783110717631 https://doi.org/10.1515/9783110717631 https://doi.org/10.1515/9783110717631 |
| Zusammenfassung: | The book explores Peirce's non standard thoughts on a synthetic continuum, topological logics, existential graphs, and relational semiotics, offering full mathematical developments on these areas. More precisely, the following new advances are offered: (1) two extensions of Peirce's existential graphs, to intuitionistic logics (a new symbol for implication), and other non-classical logics (new actions on nonplanar surfaces); (2) a complete formalization of Peirce's continuum, capturing all Peirce's original demands (genericity, supermultitudeness, reflexivity, modality), thanks to an inverse ordinally iterated sheaf of real lines; (3) an array of subformalizations and proofs of Peirce's pragmaticist maxim, through methods in category theory, HoTT techniques, and modal logics. The book will be relevant to Peirce scholars, mathematicians, and philosophers alike, thanks to thorough assessments of Peirce's mathematical heritage, compact surveys of the literature, and new perspectives offered through formal and modern mathematizations of the topics studied |
| Umfang: | 1 Online-Ressource (XVI, 212 Seiten) |
| ISBN: | 9783110717631 9783110717716 |
| DOI: | 10.1515/9783110717631 |
Internformat
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| 520 | |a The book explores Peirce's non standard thoughts on a synthetic continuum, topological logics, existential graphs, and relational semiotics, offering full mathematical developments on these areas. More precisely, the following new advances are offered: (1) two extensions of Peirce's existential graphs, to intuitionistic logics (a new symbol for implication), and other non-classical logics (new actions on nonplanar surfaces); (2) a complete formalization of Peirce's continuum, capturing all Peirce's original demands (genericity, supermultitudeness, reflexivity, modality), thanks to an inverse ordinally iterated sheaf of real lines; (3) an array of subformalizations and proofs of Peirce's pragmaticist maxim, through methods in category theory, HoTT techniques, and modal logics. The book will be relevant to Peirce scholars, mathematicians, and philosophers alike, thanks to thorough assessments of Peirce's mathematical heritage, compact surveys of the literature, and new perspectives offered through formal and modern mathematizations of the topics studied | ||
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Datensatz im Suchindex
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| discipline | Philosophie |
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| id | DE-604.BV048572210 |
| illustrated | Not Illustrated |
| indexdate | 2025-02-18T21:07:40Z |
| institution | BVB |
| isbn | 9783110717631 9783110717716 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-033948239 |
| oclc_num | 1352875000 |
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| physical | 1 Online-Ressource (XVI, 212 Seiten) |
| psigel | ZDB-23-DGG ZDB-23-DGG FAB_PDA_DGG ZDB-23-DGG FAW_PDA_DGG ZDB-23-DGG FCO_PDA_DGG ZDB-23-DGG FKE_PDA_DGG ZDB-23-DGG FLA_PDA_DGG ZDB-23-DGG UBG_PDA_DGG ZDB-23-DGG UPA_PDA_DGG |
| publishDate | 2023 |
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| series | Peirceana |
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| spelling | Advances in Peircean mathematics the Colombian School edited by Fernando Zalamea Berlin ; Boston De Gruyter [2023] © 2023 1 Online-Ressource (XVI, 212 Seiten) txt rdacontent c rdamedia cr rdacarrier Peirceana volume 7 The book explores Peirce's non standard thoughts on a synthetic continuum, topological logics, existential graphs, and relational semiotics, offering full mathematical developments on these areas. More precisely, the following new advances are offered: (1) two extensions of Peirce's existential graphs, to intuitionistic logics (a new symbol for implication), and other non-classical logics (new actions on nonplanar surfaces); (2) a complete formalization of Peirce's continuum, capturing all Peirce's original demands (genericity, supermultitudeness, reflexivity, modality), thanks to an inverse ordinally iterated sheaf of real lines; (3) an array of subformalizations and proofs of Peirce's pragmaticist maxim, through methods in category theory, HoTT techniques, and modal logics. The book will be relevant to Peirce scholars, mathematicians, and philosophers alike, thanks to thorough assessments of Peirce's mathematical heritage, compact surveys of the literature, and new perspectives offered through formal and modern mathematizations of the topics studied Existenzgraph Kontinuum Maxime Nichtklassische Logik Peirce, Charles S. Pragmatismus PHILOSOPHY / Movements / Pragmatism bisacsh (DE-588)4143413-4 Aufsatzsammlung gnd-content Zalamea, Fernando 1959- (DE-588)1057235849 edt Erscheint auch als Druck-Ausgabe 978-3-11-071761-7 Peirceana volume 7 (DE-604)BV048596172 7 https://doi.org/10.1515/9783110717631 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Advances in Peircean mathematics the Colombian School Peirceana Existenzgraph Kontinuum Maxime Nichtklassische Logik Peirce, Charles S. Pragmatismus PHILOSOPHY / Movements / Pragmatism bisacsh |
| subject_GND | (DE-588)4143413-4 |
| title | Advances in Peircean mathematics the Colombian School |
| title_auth | Advances in Peircean mathematics the Colombian School |
| title_exact_search | Advances in Peircean mathematics the Colombian School |
| title_full | Advances in Peircean mathematics the Colombian School edited by Fernando Zalamea |
| title_fullStr | Advances in Peircean mathematics the Colombian School edited by Fernando Zalamea |
| title_full_unstemmed | Advances in Peircean mathematics the Colombian School edited by Fernando Zalamea |
| title_short | Advances in Peircean mathematics |
| title_sort | advances in peircean mathematics the colombian school |
| title_sub | the Colombian School |
| topic | Existenzgraph Kontinuum Maxime Nichtklassische Logik Peirce, Charles S. Pragmatismus PHILOSOPHY / Movements / Pragmatism bisacsh |
| topic_facet | Existenzgraph Kontinuum Maxime Nichtklassische Logik Peirce, Charles S. Pragmatismus PHILOSOPHY / Movements / Pragmatism Aufsatzsammlung |
| url | https://doi.org/10.1515/9783110717631 |
| volume_link | (DE-604)BV048596172 |
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